Free Printable Algebra Review

1.

Evaluate:

−18 + (−10)

a)

−28

b)

−8

c)

28

d)

8

2.

Evaluate:

42 + (−35)

a)

7

b)

−7

c)

77

d)

−77

3.

Evaluate:

−27 + (−19)

a)

−46

b)

−8

c)

46

d)

8

4.

Evaluate:

−19 + 14

a)

−5

b)

5

c)

−33

d)

33

5.

Evaluate:

56 + (−64)

a)

−8

b)

8

c)

−120

d)

120

6.

Evaluate:

18 − (−7)

a)

25

b)

11

c)

−25

d)

−11

7.

Evaluate:

−17 − 10

a)

−27

b)

−7

c)

27

d)

7

8.

Evaluate:

−28 − (−36)

a)

8

b)

−8

c)

64

d)

−64

9.

Evaluate:

46 − 50

a)

−4

b)

4

c)

96

d)

−96

10.

Evaluate:

−17 − (−15)

a)

−2

b)

2

c)

32

d)

−32

11.

Evaluate:
−5(11)

a)

−55

b)

55

c)

6

d)

−50

12.

Evaluate:

−7(−8)

a)

56

b)

54

c)

−56

d)

−54

13.

Evaluate:

9(−6)

a)

−54

b)

54

c)

−52

d)

52

14.

Evaluate:
−12(−11)

a)

132

b)

−132

c)

121

d)

−23

15.

Evaluate:

−27 ÷ (−9)

a)

3

b)

−3

c)

−36

d)

−18

16.

Evaluate:

−72 ÷ (−8)

a)

−9

b)

9

c)

−7

d)

7

17.

Evaluate:

−144 ÷ (12)

a)

12

b)

−12

c)

11

d)

−11

18.

Evaluate:

−30 ÷ 2

a)

−15

b)

15

c)

10

d)

−10

19.

Evaluate:

26 ÷ 2

a)

−13

b)

13

c)

52

d)

−52

20.

Evaluate:

−48 ÷ (6)

a)

6

b)

−6

c)

−8

d)

8

21.

Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x²

a)

7, 24y

b)

3x, 9x

c)

3x, -9x

d)

3x, -9x, 2x²

22.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

23.

X+X+X+X+X

a)

X + 5

b)

5X

c)

X+X+X+X+X+5

d)

X to the 5th power

24.

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

25.

2r + 2 + 5r - 2 + r

a)

8r

b)

8r - 4

c)

12r

d)

7r + 4 + r

26.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

27.

6x + 1 + 7x

a)

13x - 1

b)

14x

c)

7x + 6x + 1

d)

13x + 1

28.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

29.

7(y+9)

a)

7+9

b)

7y+63

c)

-7y-63
-7y+63

d)

7x+63

30.

2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

31.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

32.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

33.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

34.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

35.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

36.

Identify Like Terms
4r+2-6+2r

a)

4r and 2r

b)

2 and 6

c)

4r and 2r,
2 and 6

d)

4r and 2r,
2 and -6

37.

Which answer choice contains ALL like terms?

a)

-4x, 2x, 3x

b)

-4x, 2, 3y

c)

4x², 2x

d)

14, 4x

38.

True or False:
u³and u² are like terms.

a)

True

b)

False

39.

Which one is the variable?
3w + 2w - (-7w)

a)

3

b)

2

c)

w

d)

12

40.

What is the coefficient in the following expression?
5x - 9

a)

-9

b)

5

c)

x

d)

5x

41.

Solve: y + 9.3 = -4.2

a)

y = -13.5

b)

y = 13.5

c)

y = 5.1

d)

y = -5.1

42.

Solve: -11 = n - 6

a)

17 = n

b)

-17 = n

c)

5 = n

d)

-5 = n

43.

Solve: m + 18 = -8

a)

m = 26

b)

m = -26

c)

m = 10

d)

m = -10

44.

Solve: -2s = -38

a)

s = 76

b)

s = -76

c)

s = 19

d)

s = -19

45.

Solve:

\frac{a}{-9}=12

a)

a = -1.3

b)

a = 1.3

c)

a = 108

d)

a = -108

46.

Solve:

\frac{3}{5}h\ =27

a)

h = 27

b)

h = 135

c)

h = 45

d)

h = 16.2

47.

Solve:

$3c+5=23$

a)

$c=3$

b)

$c=6$

c)

$c=7$

d)

$c=18$

48.

What is the first step to solve this equation:

11-3x=44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

49.

Solve:

$7+\frac{a}{3}=5$

a)

$a=-2$

b)

$a=-6$

c)

$a=3$

d)

$a=15$

50.

Solve:
7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

51.

Solve:
10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

52.

Solve:
8w - 8 = -4w + 16

a)

8

b)

16

c)

24

d)

2

53.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

54.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

55.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

56.

Solve the equation:
3x - x + 2 = 4(2x - 1)

a)

infinite solutions

b)

x = 1

c)

x = -1

d)

no solution

57.

What is the formula for standard form?

a)

y=mx+b

b)

y-y₁=m(x-x₁)

c)

Ax+By=C

d)

rise÷run

58.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

59.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

60.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

61.

^{What is the x- intercept of the line?}

a)

(0,-1)

b)

(-2,0)

c)

(-1,0)

d)

(0,-2)

62.

Give the y-interecept
5x + y = 5

a)

(1,0)

b)

(0,5)

c)

(5,0)

d)

(0,1)

63.

Give the x-intercept
5x + y = 5

a)

(1, 0)

b)

(0, 1)

c)

(1/5, 0)

d)

(0, 1/5)

64.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

65.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

66.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

67.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

68.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

69.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

70.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

71.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

72.

What would the graph of the equation x = -4 look like?

a)

Horizontal line

b)

Vertical line

c)

Slanted line

d)

No way to tell

73.

Which of the following would be graphed as a horizontal line?

a)

y = -4

b)

x = 7

c)

y = 3x-4

d)

None of the above

74.

Which of the following would represent a vertical line?

a)

y = -5

b)

x = 3

c)

y = 4x +3

d)

None of the above

75.

Describe the direction of a horizontal line.

a)

up and down

b)

side to side/left to right

76.

Describe the direction of a vertical line.

a)

up and down

b)

side to side/left to right

77.

7x+4y =12
x + 2y = -4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

78.

x + 2y = -4
x - 2y = 8

a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

79.

7x - 2y = 6
x - 2y = -6

a)

(2,4)

b)

(3,-2)

c)

(1,2)

d)

(-2,-4)

80.

x-4y = 16
5x + 4y = 8

a)

(4,-3)

b)

(-3,4)

c)

(4,3)

d)

(3,-4)

81.

5x - 2y = 6
x - 2y = -2

a)

(2,2)

b)

(2,1)

c)

(1,2)

d)

(-2,-2)

82.

x + y = 3
3x - y = 1

a)

(2,1)

b)

(-1,2)

c)

(1,2)

d)

(-2,-1)

83.

x -2y = -2
3x - 2y = 6

a)

(4,3)

b)

(-3,4)

c)

(-2,-3)

d)

(-3,-4)

84.

3x - 2y = -8
5x + 2y = -8

a)

(1,-4)

b)

(-1,-4)

c)

(-4,1)

d)

(-2,1)

85.

x - 4y = -4
x + 2y = 8

a)

(2,2)

b)

(4,2)

c)

(2,-2)

d)

(4,-2)

86.

x - 2y = 4
3x +2y = 4

a)

(-2,-1)

b)

(4,-1)

c)

(2,-1)

d)

(4,1)

87.

x - 2y = 4
2x -y = -1

a)

(-2,-3)

b)

(-3,-2)

c)

(2,3)

d)

(3,2)

88.

5x + 3y = 6
x - 3y = 12

a)

(3,3)

b)

(-3,-3)

c)

(3,-3)

d)

(3,-2)

89.

x - y = -2
y = -2

a)

(1,-2)

b)

(-1,-2)

c)

(-4,-2)

d)

(4,-2)

90.

2x - 3y = 6
7x - 3y = -9

a)

(3,4)

b)

(4,-3)

c)

(-4,-3)

d)

(-3,-4)

91.

3x + y = 4
x + 2y = -2

a)

(2,2)

b)

(-2,-2)

c)

(2,-2)

d)

(-2,2)

92.

2x + y = -3
x - 2y = -4

a)

(-2,1)

b)

(1,-2)

c)

(2,1)

d)

(1,2)

93.

x = - 3
2x + 3y = 6

a)

(4,3)

b)

(-4,3)

c)

(-3,4)

d)

(3,-4)

94.

x + 4y = -8
5x - 4y = -16

a)

(4,1)

b)

(1,4)

c)

(-4,-1)

d)

(-1,-4)

95.

2x - 3y = 6
7x - 3y = -9

a)

(-3,-4)

b)

(3,4)

c)

(-4,-3)

d)

(4,3)

96.

5x - 4y = =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

97.

Simplify the following expression using exponential notation.

2^2\cdot2^4

a)

$2^8$

b)

$2^6$

c)

$4^6$

d)

$4^8$

98.

Simplify the following expression using exponential notation.

$x^{10}\cdot x^{10}$

a)

$x^{10}$

b)

$x^{20}$

c)

$2x^{20}$

d)

$x^{100}$

99.

Simplify the following expression using exponential notation.

y\cdot y\cdot y

a)

$3y$

b)

$y^9$

c)

$0$

d)

$y^3$

100.

Simplify the following expression using exponential notation.

$x^5\cdot x^5\cdot x^5$

a)

$x^{15}$

b)

$x^{25}$

c)

$3x^5$

d)

$x^{125}$

101.

Simplify the following expression using exponential notation.

10x^4\cdot x^6

a)

In Simplest Form

b)

$10x^{24}$

c)

$10x^{10}$

d)

$100xyz$

102.

Simplify the following expression using exponential notation.

2^8\cdot x^8\cdot2^{10}

a)

$2^{18}\cdot x^8$

b)

$4^{18}x^8$

c)

$2^{80}x^8$

d)

$2xy^{10}$

103.

Simplify the following expression using exponential notation.

2^{10}\cdot2^{10}\cdot2^{10}

a)

Cannot Simplify

b)

$2^{100}$

c)

$2^{1000}$

d)

$2^{30}$

104.

Simplify the following expression using exponential notation.

5^5\cdot2^{10}\cdot5^{15}\cdot2^5

a)

$5^{20}\cdot2^{15}$

b)

$25^{15}\cdot2^{15}$

c)

$5^{50}\cdot2^{50}$

d)

Cannot be simplified

105.

$\left(5x^{10}\right)\left(10x^5\right)$

Simplify the following expression using exponential notation.

a)

$15x^{50}$

b)

$50x^{50}$

c)

$5\cdot10\cdot x^{50}$

d)

$50x^{15}$

106.

$\left(5\right)\left(5\right)\left(5\right)\left(5\right)$

Write the following expressions using exponential notation.

a)

$5^2$

b)

$5^3$

c)

$5^4$

d)

$5^{16}$

107.

Write the following expressions using exponential notation.

undefined

a)

\frac{2^3}{3}^{ }

b)

$\left(\frac{2}{3}\right)^3$

c)

$\left(\frac{2}{3^3}\right)$

d)

$\frac{8}{3}$

108.

$2\cdot2\cdot2......2;\ 15\ times$

Write the following expression using exponential notation.

a)

$15^2$

b)

$2^{15}$

c)

$30$

d)

$17$

109.

Rewrite 32 in exponential notation using 2 as the base.

a)

$2^2$

b)

$2^3$

c)

$2^4$

d)

$2^5$

110.

$2^5\cdot3^{10}$

Simplify the following expression using exponential notation.

a)

Cannot be simplified any further using exponents.

b)

$15^{50}$

c)

$15^{15}$

111.

Write an expression using exponential notation with (-1) as its base that will produce a positive product.

a)

$\left(-1\right)^1$

b)

$\left(-1\right)^2$

c)

$-4^2$

d)

$-100^2$

112.

Simplify the following expression using exponential notation.

1\cdot1\cdot1\cdot2\cdot2\cdot2

a)

$1^3\cdot2^3$

b)

$8$

c)

$12^3$

d)

$9$

113.

$\left(4xy^3\right)^3$

a)

$x^3y^9$

b)

$64x^3y^9$

c)

$12x^4y^6$

d)

$64x^4y^6$

114.

\left(3u^2v^3\right)^2

a)

$9u^4v^5$

b)

$6u^4v^5$

c)

$9u^4v^6$

d)

$6u^4v^6$

115.

\left(4v^0\right)^{-4}

a)

$256$

b)

$16v^4$

c)

$4^{-4}$

d)

$\frac{1}{256}$

116.

\left(4qm^2p^2\right)^4

a)

$16q^5m^6p^6$

b)

$256q^4m^8p^8$

c)

$16q^4m^6p^6$

d)

$256q^5m^6p^6$

117.

\left(4pq^3r^4\right)^2

a)

$16p^2q^6r^8$

b)

$8p^2q^6r^8$

c)

$16p^8q^4r^8$

d)

$8q^8r^6$

118.

\left(3x^4y^{-4}\right)^{-2}

a)

$9x^8y^8$

b)

$\frac{y^8}{9x^8}$

c)

$\frac{6x^2}{y^6}$

d)

$6x^2y^6$

119.

\left(3n^4\right)^3

a)

$9n^{12}$

b)

$9n^7$

c)

$27n^7$

d)

$27n^{12}$

120.

\left(4yx^4\right)^2

a)

$8y^3x^6$

b)

$6y^2x^8$

c)

$8y^2x^8$

d)

$16y^2x^8$

121.

\left(u^0v^{-1}\right)^{-1}

a)

$v$

b)

$uv$

c)

$\frac{1}{v}$

d)

$\frac{v}{u}$

122.

\left(4a^2b^2c^4\right)^3

a)

$12a^5b^5c^7$

b)

$64a^6b^6c^{12}$

c)

$12a^5b^5c^7$

d)

$64a^5b^5c^7$

123.

\left(4h^{-4}j^4k^2\right)^{-1}

a)

$\frac{h^4}{4j^4k^2}$

b)

$\frac{-4h^4}{j^4k^2}$

c)

$\frac{4j^3k}{h^5}$

d)

$4^{-1}h^4j^{-4}k^{-2}$

124.

\left(4hj\right)^0

a)

$0$

b)

$4h^1j^1$

c)

$4$

d)

$1$

Algebra Review

Total questions: 124

Worksheet time: 4hrs 23mins

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